I can use some help with this one. I have run a multivariate
logistical regression with log transformed continuous variables,
non-transformed continous variables, and some categorical variables.
The DV is birth outcome in a given year (yes/no) and the IV of
interest is income (log transformed). The results are in odds ratios.
My confusion is how do I interpret the odds ratio of the log
transformed continous variable. Specifically, the odds ratio of log
income is 5.4. If I back transform this I get 1.68. This does not seem
right, as a $1 increase in income would raise the odds of giving birth
in a given year by 68%. This would mean $1,000 raise would increase
the odds by 0.68*1000 or a 680% increase in the odds of giving birth.
Any suggestions would be greatly appreciated.